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Boundary feedback as a singular limit of damped hyperbolic problems with terms concentrating at the boundary

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dc.contributor.authorRodríguez Bernal, Aníbal
dc.contributor.authorJiménez Casas, Angela
dc.date.accessioned2023-11-17T12:14:04Z
dc.date.available2023-11-17T12:14:04Z
dc.date.issued2019-05
dc.description.abstractIn this paper we show how solutions of a wave equation with distributed damping near the boundary converge to solutions of a wave equation with boundary feedback damping. Sufficient conditions are given for the convergence of solutions to occur in the natural energy space.en
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipUniversidad Complutense de Madrid
dc.description.sponsorshipMinisterio de Ciencia, Innovación y Universidades (España)
dc.description.sponsorshipInstituto de Ciencias Matemáticas
dc.description.statuspub
dc.identifier.citationJiménez-Casas, Á., & Rodríguez-Bernal, A. (2019). Boundary feedback as a singular limit of damped hyperbolic problems with terms concentrating at the boundary. Discrete And Continuous Dynamical Systems, 39(9), 5125-5147. https://doi.org/10.3934/dcds.2019208
dc.identifier.doi10.3934/dcds.2019208
dc.identifier.officialurlhttps//doi.org/10.3934/dcds.2019208
dc.identifier.relatedurlhttps://www.aimsciences.org/article/doi/10.3934/dcds.2019208
dc.identifier.urihttps://hdl.handle.net/20.500.14352/88790
dc.issue.number9
dc.journal.titleDiscrete and Continuous Dynamical Systems
dc.language.isoeng
dc.page.final5147
dc.page.initial5125
dc.publisherAmerican Institute of Mathematical Sciences
dc.relation.projectIDMTM2016-75465
dc.relation.projectIDMICINN
dc.relation.projectIDGR58/08 Grupo 920894
dc.relation.projectIDFIS2016-78883-C2-2-P(AEI/FEDER, U.E.)
dc.relation.projectIDEPSRC grant EP/R023778/1
dc.relation.projectIDICMAT Severo Ochoa project SEV-2015-0554 (MINECO)
dc.rightsAttribution 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subject.cdu517.9
dc.subject.cdu519.6
dc.subject.keywordBoundary feedback
dc.subject.keywordSingular perturbation
dc.subject.keywordLocalized damping
dc.subject.keywordHyperbolic problems
dc.subject.keywordConcentrating integrals
dc.subject.keywordEnergy estimates
dc.subject.ucmMatemáticas (Matemáticas)
dc.subject.ucmEcuaciones diferenciales
dc.subject.ucmAnálisis numérico
dc.subject.unesco12 Matemáticas
dc.subject.unesco1206.12 Ecuaciones Diferenciales Ordinarias
dc.subject.unesco1206 Análisis Numérico
dc.titleBoundary feedback as a singular limit of damped hyperbolic problems with terms concentrating at the boundaryen
dc.typejournal article
dc.volume.number39
dspace.entity.typePublication
relation.isAuthorOfPublicationfb7ac82c-5148-4dd1-b893-d8f8612a1b08
relation.isAuthorOfPublication.latestForDiscoveryfb7ac82c-5148-4dd1-b893-d8f8612a1b08

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